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Finding the Fourth Proportional to 894.16, 1,339.18 and 645.79

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Solution

The fourth proportional to 894.16, 1,339.18 and 645.79 is: 967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,339.18 = 645.79 : x
  2. Step 2: Convert to fraction form
    894.16/1,339.18 = 645.79/x
  3. Step 3: Cross multiply
    894.16x = 1,339.18 × 645.79
  4. Step 4: Simplify right side
    894.16x = 864,827.44
  5. Step 5: Solve for x
    x = 864,827.44/894.16
  6. Step 6: Final answer
    x = 967.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.